A function value and a quadrant are given. Find the other five function values. Give exact answers. \( \sin \theta=\frac{1}{8} \), Quadrant I \( \cos \theta=\square \tan \theta=\square \) (Type an exact answer, using radicals as needed. Rationalize all denominators.)

Simplifier les expressions suivantes : \( A=\cos 23^{\circ}+\cos ^{2} 75^{\circ}+\cos ^{2} 15^{\circ}-\sin 67^{\circ} ; \) \( B=\left(\sin ^{2} 65^{\circ}+\tan ^{2} 55^{\circ}+\sin ^{2} 25^{\circ}\right) \times \sin ^{2} 35^{\circ}-\tan 45^{\circ} \)

simplifier les expressions suivantes : \( A=\cos 23^{\circ}+\cos ^{2} 75^{\circ}+\cos ^{2} 15^{\circ}-\sin 67^{\circ} \) \( B=\left(\sin ^{2} 65^{\circ}+\tan ^{2} 55^{\circ}+\sin ^{2} 25^{\circ}\right) \times \sin ^{2} 35^{\circ}-\tan 45^{\circ} \)

6.3 If \( \quad \tan x=m+\frac{1}{m}, 90^{\circ} \leq x \leq 270^{\circ} \) and \( m^{2}+\frac{1}{m^{2}}=1 \) Calculate the value of \( x \) without the use of a calculator.

1) \( \sin \frac{3 \pi}{4} \);

(b) Express \( \left(\sqrt{3} \cos \theta+\sin \theta\right. \) in the form \( R \cos (\theta-\alpha) \), where \( R>0 \) and \( 0^{\circ}<\alpha<90^{\circ} \). Hence, solve the equation \( \sqrt{3} \cos \theta+\sin \theta=-1,0^{\circ}<\theta<360^{\circ} \).